Question

简便计算下面题目？

41.2*5.5+53.7*4.5+5*1.25

Answer 1

41.2*5.5+53.7*4.5+5*1.25 【提取公因数5】 =5x(41.2*1.1+53.7*0.9+1.25) =5x(45.32+48.33+1.25) =5x(93.65+1.25) =5x94.9 =474.5

Answer 2

简算：
41.2X5.5+53.7X4.5+5X12.5
=41.2X（5+0.5）+53.7x（5-0.5）+62.5
=41.2Ⅹ5+41.2X0.5+53.7X5-53.7X0.5+62.5
=（41.2+53.7）X5-（53.7-41.2）X0.5+62.5
=94.9X5-12.5Ⅹ0.5+62.5
=474.5-6.25+62.5
=468.25+62.5
=530.75

Answer 3

原式=
41.2×（5+0.5）+53.7×（5-0.5）+5×1.25
=（41.2+53.7+1.25）×5+0.5×（41.2-53.7）
=96.15×5-0.5×12.5
=（96.15-1.25）×5
=94.9×5
=474.5

Answer 4

41.2*5+41.2*0.5+53.7*5-53.7*0.5+1.25*5=5*（41.2+53.7+1.25）+0.5*（41.2-53.7）

追问

41.2-53.7是负数，怎么减？

追答

=41.2*5+41.2*0.5+53.7*5-53.7*0.5+1.25*5
=5*（41.2+53.7+1.25）+0.5*（41.2-53.7）
=5*（41.2+53.7+1.25）-0.5*（53.7-41.2）
=5*96.15-0.5*12.5
=474.5

Answer 5

41.2*5.5+53.7*4.5+5*1.25
=41.2*5+41.2*0.5+53.7*5-53.7*0.5+5*1.25
=41.2*5+4.12*5+53.7*5-5.37*5+5*1.25
=5*(41.2+4.12+53.7-5.37+1.25)
=5*94.9
=474.5